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math.AP2012
Forward Discretely Self-Similar Solutions of the Navier-Stokes Equations
Tai-Peng Tsai
Extending the work of Jia and Sverak on self-similar solutions of the Navier-Stokes equations, we show the existence of large, forward, discretely self-similar solutions.
math.AP2012
Local Dynamics Near Unstable Branches of NLS Solitons
Vianney Combet, Tai-Peng Tsai, Ian Zwiers
Consider a branch of unstable solitons of NLS whose linearized operators have one pair of simple real eigenvalues in addition to the zero eigenvalue. Under radial symmetry and stan…